论文标题
嘈杂量子动力学和通用鲁棒量子门的几何对应关系
Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
论文作者
论文摘要
量子信息处理面临重大障碍：噪声。不同的噪声源会根据基础动力学诱导量子操作的不同错误。为了深入了解这些错误机制，我们介绍了量子误差演化图（QEED）的概念。这些QUEDS在驱动的嘈杂量子动力学和几何空间曲线之间建立了双重对应，提供定量几何指标来评估这些误差的严重性。该理论提供了一个框架，用于设计通用鲁棒量子门以纠正通用噪声引起的错误。此外，我们提出了一种构建通用的单量和两数Quit的稳健量子门的协议。这些大门以任意长度的简单而平滑的控制脉冲设计，在各种噪声强度范围内达到了超过99.99 \％的保真度。与现有方法相比，这种几何方法具有显着优势。总体而言，我们的工作为嘈杂的量子动力学的几何特性提供了新的见解，并为开发动态纠正量子错误的方法铺平了道路。
Quantum information processing faces a significant hurdle: noise. Different noise sources induce varying errors in quantum operations depending on the underlying dynamics. To gain a deeper understanding of these error mechanisms, we introduce the concept of Quantum Error Evolution Diagrams (QEED). These QEEDs establish a dual correspondence between driven noisy quantum dynamics and geometric space curves, offering quantitative geometric metrics to assess the severity of these errors. This theory provides a framework for designing universal robust quantum gates to correct the errors induced by generic noises. Furthermore, we present a protocol for constructing a universal set of single- and two-qubit robust quantum gates. These gates, designed with simple and smooth control pulses of arbitrary length, achieve fidelities exceeding 99.99\% across a wide range of noise strengths. This geometric approach offers significant advantages over existing methods. Overall, our work provides new insights into the geometric nature of noisy quantum dynamics and paves the way for the development of approaches to dynamically correct quantum errors.
